How to Solve Problems Involving AC Voltage Using Integral Calculus

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Homework Help Overview

The discussion revolves around solving problems related to AC voltage, specifically focusing on the mean and root mean square (r.m.s.) values of a voltage function given by V = 4cos2θ. The context involves using integral calculus to evaluate these values over a full cycle from 0 to 2π.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants express uncertainty about how to apply the formulas for mean and r.m.s. values using integrals. There are requests for guidance on starting points and clarification on the evaluation of integrals.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the application of integral calculus to the problem. Some have provided suggestions to start with the known formulas, while others are looking for more foundational guidance on evaluating integrals.

Contextual Notes

Participants are working under the constraints of needing to use integral calculus and the provided identity for cos²θ. There is an expressed lack of clarity on how to proceed with the integration process.

maali5
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Homework Statement



A generated AC voltage has a value given by V = 4cos2θ.

You will need to use the identity cos^2⁡θ = 1/2(1+cos2θ)



Homework Equations



a) Find the mean value of the voltage over a full cycle (0 ≤ θ ≤ 2π) using integral calculus

b) Find the r.m.s. value of the voltage over a full cycle (0 ≤ θ ≤ 2π) using integral calculus


The Attempt at a Solution



How should I be able to solve problems like this?

Thanx
 
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maali5 said:

Homework Statement



A generated AC voltage has a value given by V = 4cos2θ.

You will need to use the identity cos^2⁡θ = 1/2(1+cos2θ)

Homework Equations



a) Find the mean value of the voltage over a full cycle (0 ≤ θ ≤ 2π) using integral calculus

b) Find the r.m.s. value of the voltage over a full cycle (0 ≤ θ ≤ 2π) using integral calculus

The Attempt at a Solution



How should I be able to solve problems like this?

Thanx

Use the formulas for mean and rms and do the integrals. Show us what you get.
 
LCKurtz said:
Use the formulas for mean and rms and do the integrals. Show us what you get.

I know the two formulas but please explain to me what to do with it. I am lost.

Give me somewhere to start please.
 
maali5 said:
I know the two formulas but please explain to me what to do with it. I am lost.

Give me somewhere to start please.

You start with the formulas. If you know the formulas, they are nothing more than integrals. Do you know how to evaluate integrals?

I don't know how to help you until you show me what formulas you are trying and where you are stuck.
 

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